Mother operators and their descendants

被引：13
|
作者：
Picard, Rainer [1 ]
机构：
[1] Tech Univ Dresden, Fachrichtung Math, Inst Anal, Dresden, Germany
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 403卷 / 01期
关键词：
Evolutionary equations; Material laws; Co-variant derivative; Acoustics; Electrodynamics;
D O I：
10.1016/j.jmaa.2013.02.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A mechanism deriving new well-posed evolutionary equations from given ones is inspected. It turns out that, there is one particular spatial operator from which many of the standard evolutionary problems of mathematical physics can be generated by this abstract mechanism using suitable projections. The complexity of the dynamics of the phenomena considered can be described in terms of suitable material laws. The idea is illustrated with a number of concrete examples. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：54 / 62
页数：9
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